2019
Том 71
№ 9

All Issues

Symmetrization and initial boundary-value problems for certain classes of nonlinear second order parabolic equations

Bazalii B. V., Tedeev A. F.

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Abstract

Initial boundary-value problems are considered for equations of porous medium and $p$-Laplace types. By using the Schwarz symmetrization method, the $L_p$-estimates for the solutions of the original problems are obtained in terms of the analogous estimates for the corresponding symmetric solutions.

English version (Springer): Ukrainian Mathematical Journal 45 (1993), no. 7, pp 976-986.

Citation Example: Bazalii B. V., Tedeev A. F. Symmetrization and initial boundary-value problems for certain classes of nonlinear second order parabolic equations // Ukr. Mat. Zh. - 1993. - 45, № 7. - pp. 884–892.

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